Results 241 to 250 of about 100,346 (281)

Jensen's inequalities for pseudo-integrals

2021
In this paper, we introduce a general$(oplus,otimes)$-convex function based on semirings $([a,b],oplus, otimes)$ with pseudo-addition $oplus$ andpseudo-multiplication $otimes.$ The generalization of the finiteJensen's inequality, as well as pseudo-integral with respect to$(oplus,otimes)$-convex functions, is obtained.
Zhang, D., Pap, E.
openaire   +2 more sources

Jensen’s Inequality

2018
Historical origins. Jensen’s inequality is named after the Danish mathematician Johan Ludwig William Valdemar Jensen, born 8 May 1859 in Nakskov, Denmark, died 5 March 1925 in Copenhagen, Denmark.
Hayk Sedrakyan, Nairi Sedrakyan
openaire   +1 more source

Jensen's inequality

Mathematical Notes of the Academy of Sciences of the USSR, 1987
Translation from Mat. Zametki 41, No.6, 798-806 (Russian) (1987; Zbl 0627.26007).
openaire   +1 more source

Refining Jensen's inequality

2004
Summary: A refinement of Jensen's inequality is presented. An extra term makes the inequality tighter when the convex function is ``superquadratic'', a strong convexity-type condition is introduced here. This condition is shown to be necessary and sufficient for the refined inequality.
Jameson, Graham J. O., Abramovich, Shoshana, Sinnamon, Gord   +2 more
openaire   +1 more source

Operator Inequalities Reverse to the Jensen Inequality

Mathematical Notes, 2001
The paper obtains reverse operator inequalities of Jensen's one as follows: Suppose that \(H\) is a Hilbert space, \(A_{i}=A_{i}^{*}\in B(H)\), \(1\leq i\leq n\), and \(aI\leq A_{i}\leq bI\) for \(i\in\{1,\cdots, n\}\). Further, suppose that \(R_{i}\in B(H)\) are arbitrary operators satisfying the condition \(\sum_{i=1}^{n} R_{i}^{*}R_{i}=I\). If \(f\)
openaire   +1 more source

On Inequalities Complementary to Jensen's

Canadian Journal of Mathematics, 1983
In a paper published in 1975 [1, § 3], D. S. Mitrinovič and P. M. Vasič used the so-called “centroid method” to obtain two new inequalities which are complementary to (the discrete version of) Jensen's inequality for convex functions. In this paper we shall present a very general version of such inequalities using the same geometric ideas used in [1 ...
openaire   +2 more sources

An inequality for Jensen means

Nonlinear Analysis: Theory, Methods & Applications, 1991
Let \(A=A(t)\) be an \(N\)-function defining the Orlicz space \(L_ A(\Omega)\), \(\Omega\) being a bounded open set in \(R^ n\). It is known that the condition \[ C_ 1t^ p-C_ 2\leq A(t)\leq C_ 3(t^ q+1), \quad t\geq t_ 0\leqno (1) \] with ...
openaire   +2 more sources

Jensen’s inequality on convex spaces

Calculus of Variations and Partial Differential Equations, 2013
The author proves a Jensen inequality on \(p\)-uniformly convex spaces in terms of \(p\)-barycenters of probability measures with \((p-1)\)-th moment, with \(p\in(1,\infty)\), under a geometric condition. He also gives a Liouville-type theorem for harmonic maps described by Markov chains into a 2-uniformly convex space satisfying such a geometric ...
openaire   +2 more sources

On Some General Inequalities Related to Jensen’s Inequality

2008
We present several general inequalities related to Jensen's inequality and the Jensen-Steffensen inequality. Some recently proved results are obtained as special cases of these general inequalities.
Klaričić Bakula, Milica, Matić, Marko, Pečarić, Josip   +2 more
openaire   +1 more source

Convexity, Jensen’s Inequality

2012
The main purpose of this section is to acquaint the reader with one of the most important theorems, that is widely used in proving inequalities, Jensen’s inequality. This is an inequality regarding so-called convex functions, so firstly we will give some definitions and theorems whose proofs are subject to mathematical analysis, and therefore we’ll ...
openaire   +1 more source